Jay Schweig

activity

20062024

most citedGeneralizing the Borel property

7 citations · 24 across the 13 of their papers we have counts for

collaborators

Showing 2017 · math.ACShow all

2 papers · 2 filters

math.AC2017

The Rees algebra of a two-Borel ideal is Koszul

Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +2

Let $M$ and $N$ be two monomials of the same degree, and let $I$ be the smallest Borel ideal containing $M$ and $N$ . We show that the toric ring of $I$ is Koszul by constructing a…

math.AC2017

The Type Defect of a Simplicial Complex

Hailong Dao, Jay Schweig

Fix a field $k$ . When $Δ$ is a simplicial complex on $n$ vertices with Stanley-Reisner ideal $I_{Δ}$ , we define and study an invariant called the $type defect$ of $Δ$ . Excep…